Question

A swimming pool drains according to the function fx=-60x+3600. If x represents the amount of time the pool is being drained, in minutes, how many minutes have passed if the pool still contains 2370 cubic feet of water?

Answer 1

The given function f(x) = -60x + 3600 represents the rate at which the water is being drained from the pool, in cubic feet per minute, as a linear function of time x in minutes.

To find the amount of time it takes for the pool to contain 2370 cubic feet of water, we need to set f(x) equal to 2370 and solve for x.

So we have:

-60x + 3600 = 2370

-60x = 2370 - 3600

-60x = -1230

x = (-1230) / (-60)

x = 20.5

Therefore, it takes 20.5 minutes for the pool to contain 2370 cubic feet of water.